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Integer Codes Correcting High-Density Byte Asymmetric Errors
(Institute of Electrical and Electronics Engineers (IEEE), 2017)
In optical networks without optical amplifiers, the number of received photons never exceeds the number of sent ones. Hence, upon transmission, only asymmetric (1 → 0) errors can occur. Motivated by this fact, in this ...
(Perfect) Integer Codes Correcting Single Errors
This letter presents a class of integer codes capable of correcting single errors. Unlike Hamming codes, the presented codes are constructed with the help of a computer. Among all codes of length up to 4096 bits, a computer ...
Integer Codes Correcting Spotty Byte Asymmetric Errors
In short-range optical networks, channel errors occur due to energy losses. Upon transmission, they mostly manifest themselves as spotty byte asymmetric errors. In this letter, we present a class of codes that can correct ...